Finding the Third Proportional to 12,962 and 20,109
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Solution
The third proportional to 12,962 and 20,109 is: 31,196.72
Step by Step Solution
- Step 1: Write the proportion equation
12,962 : 20,109 = 20,109 : x - Step 2: Convert to fraction form
12,962/20,109 = 20,109/x - Step 3: Cross multiply
12,962x = 20,109 × 20,109 - Step 4: Simplify right side
12,962x = 404,371,881 - Step 5: Solve for x
x = 404,371,881/12,962 - Step 6: Final answer
x = 31,196.72
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.